Question

А) 10sin23cos23/sin46 Б) 3(cos²23-sin²23)/5cos46

Answer 1

Всё по формуле двойного угла)

Answer 2

Let's simplify each expression separately:

A)

10sin23cos23/sin46

We can use the identity sin(2θ) = 2sin(θ)cos(θ) to simplify the numerator:

10sin23cos23 = 5sin46

Now we can substitute this into the original expression:

5sin46/sin46 = 5

Therefore, the simplified expression is 5.

B)

3(cos²23-sin²23)/5cos46

We can use the identity cos(2θ) = cos²(θ) - sin²(θ) to simplify the numerator:

cos²23 - sin²23 = cos(2×23) = cos46

Now we can substitute this into the original expression:

3cos46/5cos46 = 3/5

Therefore, the simplified expression is 3/5.

In summary:

A) 10sin23cos23/sin46 = 5 B) 3(cos²23-sin²23)/5cos46 = 3/5